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Finding the Third Proportional to 250,364 and 512,392

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Solution

The third proportional to 250,364 and 512,392 is: 1,048,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,364 : 512,392 = 512,392 : x
  2. Step 2: Convert to fraction form
    250,364/512,392 = 512,392/x
  3. Step 3: Cross multiply
    250,364x = 512,392 × 512,392
  4. Step 4: Simplify right side
    250,364x = 262,545,561,664
  5. Step 5: Solve for x
    x = 262,545,561,664/250,364
  6. Step 6: Final answer
    x = 1,048,655.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.